By Vladimir Astakhov, Alexander Neiman

We current a much better and enlarged model of our e-book Nonlinear - namics of Chaotic and Stochastic structures released via Springer in 2002. primarily, the recent variation of the booklet corresponds to its ?rst model. whereas preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints spotted in a few formulation. in addition to, 3 new sections were additional to bankruptcy 2. they're “Statistical homes of Dynamical Chaos,” “E?ects of Synchronization in prolonged Self-Sustained Oscillatory Systems,” and “Synchronization in dwelling Systems.” The sections indicated re?ect the main fascinating effects received by way of the authors after ebook of the ?rst version. we are hoping that the hot version of the publication might be of serious curiosity for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning learn within the ?elds of nonlinear oscillation and wave thought, dynamical chaos, synchronization, and stochastic technique idea. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the 1st variation Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic structures. substantial attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. at the one hand, there exists a wealthy literature of fine books on n- linear dynamics and chaos; nonetheless, there are various superb monographs and textbooks at the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics in accordance with the deterministic evolution equations with the procedure of statistical physics in line with stochastic or kinetic equations. considered one of our major goals is to teach the $64000 function of noise within the association and houses of dynamic regimes of nonlinear dissipative platforms.

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